Find the perimeter of a triangle on a coordinate plane | Geometry

The video tutorial explains how to find the perimeter of a triangle using both the Pythagorean theorem and the distance formula. It begins by defining the perimeter as the sum of all side lengths and demonstrates how to identify points on a coordinate grid. The tutorial then explores two methods for calculating distances: creating right triangles and using the distance formula. It provides step-by-step calculations for each side of the triangle and concludes by summing these distances to find the perimeter.

What is the perimeter of a triangle?

• The difference between the longest and shortest sides

• The sum of all the side lengths of the triangle

• The sum of all the angles in the triangle

• The area of the triangle

Which of the following is a method to find the distance between two points on a coordinate grid?

• Using the area formula

• Using the Pythagorean theorem

• Using the midpoint formula

• Using the angle bisector theorem

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• (x2 - x1) + (y2 - y1)

• (x2 + x1) / 2, (y2 + y1) / 2

In the Pythagorean theorem, what does the hypotenuse represent?

• The difference between the two legs

• The sum of the two legs

• The shortest side of a right triangle

• The longest side of a right triangle

How do you simplify sqrt(20)?

• 10

• 4 sqrt(5)

• 2 sqrt(5)

• 5 sqrt(2)

What is the final step in finding the perimeter of a triangle?

• Dividing the side lengths

• Subtracting the side lengths

• Multiplying the side lengths

• Adding the side lengths

Which of the following is NOT a step in calculating the perimeter of a triangle?

• Finding the midpoint of each side

• Summing up all the distances

• Using the distance formula or Pythagorean theorem

• Finding the distance between each pair of points